Key points are not available for this paper at this time.
Let J₍, ₌ = (x₁ x₌, x₂ x₌+₁, , x₍x₁ x₌-₁) be the m-path ideal of a cycle of length n 5 over a polynomial ring S = kx₁, , xₙ. Let t 1 be an integer. We show that J₍, ₌ᵗ has a linear free resolution and give a precise formula for all of its Betti numbers when m = n-1, n-2.
Bălănescu et al. (Sat,) studied this question.